33238222867600 has 135 divisors (see below), whose sum is σ = 80599359356139. Its totient is φ = 13172466048000.

The previous prime is 33238222867559. The next prime is 33238222867691. The reversal of 33238222867600 is 676822283233.

The square root of 33238222867600 is 5765260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16910287532944 + 16327935334656 = 4112212^2 + 4040784^2 .

It is a super-2 number, since 2×33238222867600² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13029486325 + ... + 13029488875.

Almost surely, 2^{33238222867600} is an apocalyptic number.

33238222867600 is the 5765260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33238222867600

33238222867600 is an abundant number, since it is smaller than the sum of its proper divisors (47361136488539).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33238222867600 is an frugal number, since it uses more digits than its factorization.

33238222867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 33238222867600 in words is "thirty-three trillion, two hundred thirty-eight billion, two hundred twenty-two million, eight hundred sixty-seven thousand, six hundred".